The graph shows the history of the value of currency X—in units of currency A and in units of currency...

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

• Currency X's value, as measured in currencies A and B, peaked at different times during the 12-week period
• The chart suggests significant fluctuations, a crossover in early June, and separate local maxima for each line
• This confirms that the highest values for currency X in each currency occurred in different weeks
• The range of values (\(\mathrm{0.111}\) to \(\mathrm{0.131}\)) indicates substantial volatility in this timeframe

Step-by-Step Solution

Question 1: Finding the Greatest Value of Currency X in Terms of Currency A

Complete Statement:

For the 12-week period shown in the graph, the greatest value of a unit of currency X expressed in units of currency A occurred around ______.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: greatest value of a unit of currency X
  • Meaning: We are being asked to find the maximum point for currency X's value.
  • Relation to Chart: This will be the highest y-value on the corresponding line on the chart.
  • Important Implications: We must identify which line represents currency A and then locate its maximum.

• Statement Breakdown 2:
  • Key Phrase: expressed in units of currency A
  • Meaning: We must look at the value of X in terms of A.
  • Relation to Chart: The chart legend indicates the black solid line depicts \(\mathrm{X/A}\).
  • Important Implications: Only the black line should be considered for this blank.

What is needed: The date when the black line (\(\mathrm{X/A}\)) reaches its highest point.

Solution:

• Condensed Solution Implementation:
  Visually inspect the chart for the highest point of the black line.
• Necessary Data points:
  The graph shows that the black and blue lines cross in early June, and the black line peaks before this crossover.
• Calculations Estimations:
  Of the options (04 May, 01 June, 30 June), the black line reaches its highest point before 01 June, which would be around 04 May.
• Comparison to Answer Choices:
  04 May is the answer that fits the timing of the black line's peak before the crossover.

FINAL ANSWER Blank 1: 04 May

Question 2: Finding the Greatest Value of Currency X in Terms of Currency B

Complete Statement:

...and the greatest value of a unit of currency X expressed in units of currency B occurred around ______.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: greatest value of a unit of currency X expressed in units of currency B
  • Meaning: We are being asked for the maximum value on the B line.
  • Relation to Chart: The chart legend says the blue (or cyan) line is \(\mathrm{X/B}\).

What is needed: The date when the blue (cyan) line (\(\mathrm{X/B}\)) reaches its highest point.

Solution:

• Condensed Solution Implementation:
  Visually inspect the chart for the highest point of the blue line.
• Necessary Data points:
  The blue line crosses the black line in early June and continues upward to its maximum after the crossover.
• Calculations Estimations:
  Of the choices (04 May, 01 June, 30 June), the blue line appears to peak around or just after the early June crossover, so 01 June fits best.
• Comparison to Answer Choices:
  01 June aligns with the timing of the blue line's maximum, based on the chart.

FINAL ANSWER Blank 2: 01 June

Summary

By matching each colored line to its currency and analyzing their peaks in relation to the crossover in early June, we find the greatest value for X in A occurs around 04 May and for X in B around 01 June.

Question Independence Analysis

Each blank refers to the value of currency X in a different reference currency; the answers are found independently by analyzing separate lines on the chart.